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2 years ago

– 6 (2x – 3) – 11

Mathematics

1 answer:

jekas [21]2 years ago

3 0

Answer:

12x + 7 is the answer

Step-by-step explanation:

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4. The diagram at right shows the graph of 3x + 4y = 12. The shaded figure is a square, three of whose vertices are on the coord

nikklg [1K]

Remark

This is a very interesting question. Draw a line from the origin to where the upper right vertex of the square touches the line. That line has the property that the its equation is y = x. So the "solution" to the point of intersection is the solution of the two equations.

y = x (1)

3x + 4y = 12 (2)

Put x in for y in equation 2

3x + 4x = 12

7x = 12

x = 12/7

x = 1.714

y = 1.714

Problem A

x intercept

The x intercept occurs when y = 0

3x + 4(0) = 12

3x = 12 Divide by 3

x = 12/3

x = 4

the x intercept = (4,0)

y intercept

The y intercept occurs when x =0

3(0) + 4y = 12

4y = 12

y = 12/4

y = 3

y intercept = (0,3)

Problem B

x and y both equal 1.714 so they are also the length of the square's side.

Problem C

See solution above. x =y is the key fact.

x = y = 1.714

5 0

3 years ago

Subtracting mixed number 4_1 - 2_7 4 8 4

aleksandr82 [10.1K]

Answer:

$4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}$

Step-by-step explanation:

Given

$4\frac{1}{4} - 2\frac{7}{8}$ --- proper representation of the question

Required

Evaluate

Convert numbers to improper fractions

$4\frac{1}{4} - 2\frac{7}{8} = \frac{17}{4} - \frac{23}{8}$

Take LCM

$4\frac{1}{4} - 2\frac{7}{8} = \frac{34 - 23}{8}$

$4\frac{1}{4} - 2\frac{7}{8} = \frac{11}{8}$

Convert to improper fraction

$4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}$

8 0

3 years ago

1.Suppose f(x)=6x^2+2x-7 and g(x)=4x-3.Find the value of f(5)/g(-3)

posledela

Answer:

-10.2

Step-by-step explanation:

f{5} = 6(5^2) + 2(5) - 7

g{-3}= 4(-3)-3

= 6(25) + 10 - 7

-12 - 3

= 150 + 10 - 7

- 15

= 153

-15

= -51

= -10.2

7 0

3 years ago

Select all that apply.

Nina [5.8K]

Step-by-step explanation:

In parallelogram Both pairs of opposite sides are parallel

3 0

3 years ago

What are the numbers after 10 8 7 9

kramer

Answer:

Step-by-step explanation:

ven numbers always end with a digit of 0, 2, 4, 6 or 8.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.

Odd numbers always end with a digit of 1, 3, 5, 7, or 9.

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.

3 0

3 years ago